101000110010100 has 108 divisors (see below), whose sum is σ = 339937513169184. Its totient is φ = 23085739427520.

The previous prime is 101000110010099. The next prime is 101000110010117. The reversal of 101000110010100 is 1010011000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3435363192 + ... + 3435392591.

Almost surely, 2^{101000110010100} is an apocalyptic number.

101000110010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000110010100 is an abundant number, since it is smaller than the sum of its proper divisors (238937403159084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101000110010100 is a wasteful number, since it uses less digits than its factorization.

101000110010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870755814 (or 6870755800 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000110010100 its reverse (1010011000101), we get a palindrome (102010121010201).

Subtracting from 101000110010100 its reverse (1010011000101), we obtain a palindrome (99990099009999).

The spelling of 101000110010100 in words is "one hundred one trillion, one hundred ten million, ten thousand, one hundred".